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Finding the Fourth Proportional to 13,915.68, 20,873.52 and 6,894.24

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Solution

The fourth proportional to 13,915.68, 20,873.52 and 6,894.24 is: 10,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.68 : 20,873.52 = 6,894.24 : x
  2. Step 2: Convert to fraction form
    13,915.68/20,873.52 = 6,894.24/x
  3. Step 3: Cross multiply
    13,915.68x = 20,873.52 × 6,894.24
  4. Step 4: Simplify right side
    13,915.68x = 143,907,056.52
  5. Step 5: Solve for x
    x = 143,907,056.52/13,915.68
  6. Step 6: Final answer
    x = 10,341.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.